378314400 has 144 divisors (see below), whose sum is σ = 1237983264. Its totient is φ = 100346880.

The previous prime is 378314399. The next prime is 378314437. The reversal of 378314400 is 4413873.

378314400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678922 + ... + 679478.

It is an arithmetic number, because the mean of its divisors is an integer number (8597106).

Almost surely, 2^378314400 is an apocalyptic number.

378314400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618991632).

378314400 is an abundant number, since it is smaller than the sum of its proper divisors (859668864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

378314400 is a wasteful number, since it uses less digits than its factorization.

378314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 378314400 is about 19450.3059101907. The cubic root of 378314400 is about 723.2430863267.

The spelling of 378314400 in words is "three hundred seventy-eight million, three hundred fourteen thousand, four hundred".